Can Anything Be Done to Help Nose Asymmetry After Upper Jaw Surgery?

Maxillofacial (jaw) surgery may cause displacement of the nasal septum and asymmetry of the nose.  This can be improved/corrected with a septoplasty and rhinoplasty and at the same time the metal plates/screws can be removed.  This can be done in an office-based ambulatory surgery setting under IV sedation.

Any hardware can be removed under IV sedation and a brief general anesthetic. This is a much smaller surgery compared to your original jaw surgery and can be done as an outpatient surgical procedure. A rhinoplasty can also be performed to address nostril and tip asymmetry, but will not address any thin skin that is present on the nose.

Unfortunately, the picture is a bit fuzzy but I can appreciate that you have more nostril flare on one side versus the other. This flare can be do to many things.
Nasal septum (middle cartilage) may be off, the nasal muscles that are usually tightened at the base of the nostrils may have been tightened unevenly or could have relaxed, or the upper jaw may be more prominent on that side due to its position to allow your teeth to fit just to name a few. It would be unusual for the plates and screws to causes that fullness. The plates and screws are very small/thin. It is best to visit with an oral and maxillofacial surgeon or a plastic surgeon to have a complete eval as a second opinion.
Good Luck.